A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property
2011 ◽
Vol 1
(3)
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pp. 248-263
Keyword(s):
New Type
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AbstractIn this paper, a new type of gradient recovery method based on vertex-edge-face interpolation is introduced and analyzed. This method gives a new way to recover gradient approximations and has the same simplicity, efficiency, and superconvergence properties as those of superconvergence patch recovery method and polynomial preserving recovery method. Here, we introduce the recovery technique and analyze its superconvergence properties. We also show a simple application in the a posteriori error estimates. Some numerical examples illustrate the effectiveness of this recovery method.
2001 ◽
Vol 190
(32-33)
◽
pp. 4289-4299
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2010 ◽
Vol 3
(1)
◽
pp. 53-78
2004 ◽
Vol 42
(4)
◽
pp. 1780-1800
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Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations
2020 ◽
Vol 12
(6)
◽
pp. 1353-1383
Keyword(s):
Type A
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2018 ◽
Vol 3
(3)
◽
2011 ◽
Vol 200
(37-40)
◽
pp. 2782-2795
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2006 ◽
Vol 27
(3)
◽
pp. 576-592
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